Maintaining state within a recursive function in Clojure - recursion

I have a recursive function that spits out a hash every time it is called.
The first time it loops around the hash is:
{1 "mary", 2 "dean"}
next round spits out
{23 "ava", 4 "scout"}
and the final round returns
{3 "bina", 16 "bob"}
My function will always return the last round of data, {3 "gina", 16 "bob"}.
I'd like to, instead of spitting out the last piece of data, store them all in one giant hash so that I can compare them. After I compare them, the function should return "ava", because that is the value associated with the highest key. What's the best way to go about this?

One general pattern is to add a state argument to your recursive function and provide an arity of the funciton that adds the initial state value. Then in the base case you can do postprocessing of the state value.
Here is an example that builds a map of inputs before the first odd number to a random value:
user> (defn example
([input] (example input {})) ;; one argument recurs with default value
([input state] ;; two arg case passes the state.
(if (odd? (first input))
state
(recur (rest input)
(assoc state (first input) (rand-int 10))))))
#'user/example
And one that selects the highest value form the resulting state:
user> (example [2 4 8 9])
{8 0, 4 1, 2 4}
user> (defn example
([input] (example input {}))
([input state]
(if (odd? (first input))
(first (sort-by val state))
(recur (rest input)
(assoc state (first input) (rand-int 10))))))
#'user/example
user> (example [2 4 8 9])
[8 6]

If you have a side-effective function that spits out a sequence of values, model it as a sequence. If the sequence terminates, presumably the function then returns an invalid value.
The function
(defn ensequence [f! valid?]
(take-while valid? (repeatedly f!)))
... returns the sequence of values produced by side-effective function f!, terminating whenever the valid? test fails.
For instance,
(ensequence #(rand-int 10) #(not= 5 %))
... returns a sequence of random values in (range 10), stopping just before the first 5:
(6 9)
... for instance (your milage will vary).
To show how ensequence works in your case, we use an inverse function that turns a sequence into a function that returns its successive elements, and nil thereafter:
(defn oracle! [coll]
(let [s (atom coll)]
(fn [] (let [x (first #s)] (swap! s rest) x))))
For example,
(repeatedly 10 (oracle! (range 5)))
;(0 1 2 3 4 nil nil nil nil nil)
For your data
(def data [{1 "mary", 2 "dean"} {23 "ava", 4 "scout"} {3 "bina", 16 "bob"}])
The function
(oracle! data)
... successively returns its elements, followed by nils:
(repeatedly 10 (oracle! data))
;({1 "mary", 2 "dean"} {23 "ava", 4 "scout"} {3 "bina", 16 "bob"}
nil nil nil nil nil nil nil)
We can use ensequence on this, however it was generated, to recover the original sequence:
(ensequence (oracle! data) identity)
;({1 "mary", 2 "dean"} {23 "ava", 4 "scout"} {3 "bina", 16 "bob"})
Since nil is false and never valid here, identity is a good validity test.
Now that we have the sequence, we can do whatever we like with it. In your case, we just
concatenate the maps into a big sequence of map-entries;
find the entry with maximum key; and
take its val.
Thus:
(val (apply max-key key (reduce concat data)))
;"ava"
We should use (ensequence (oracle! data) identity) instead of the equivalent data, but it doesn't make any difference.

Related

clojure - (Another one) StackOverflow with loop/recur

I know this is a recurring question (here, here, and more), and I know that the problem is related to creating lazy sequencies, but I can't see why it fails.
The problem: I had written a (not very nice) quicksort algorithm to sort strings that uses loop/recur. But applied to 10000 elements, I get a StackOverflowError:
(defn qsort [list]
(loop [[current & todo :as all] [list] sorted []]
(cond
(nil? current) sorted
(or (nil? (seq current)) (= (count current) 1)) (recur todo (concat sorted current))
:else (let [[pivot & rest] current
pred #(> (compare pivot %) 0)
lt (filter pred rest)
gte (remove pred rest)
work (list* lt [pivot] gte todo)]
(recur work sorted)))))
I used in this way:
(defn tlfnum [] (str/join (repeatedly 10 #(rand-int 10))))
(defn tlfbook [n] (repeatedly n #(tlfnum)))
(time (count (qsort (tlfbook 10000))))
And this is part of the stack trace:
[clojure.lang.LazySeq seq "LazySeq.java" 49]
[clojure.lang.RT seq "RT.java" 521]
[clojure.core$seq__4357 invokeStatic "core.clj" 137]
[clojure.core$concat$fn__4446 invoke "core.clj" 706]
[clojure.lang.LazySeq sval "LazySeq.java" 40]
[clojure.lang.LazySeq seq "LazySeq.java" 49]
[clojure.lang.RT seq "RT.java" 521]
[clojure.core$seq__4357 invokeStatic "core.clj" 137]]}
As far as I know, loop/recur performs tail call optimization, so no stack is used (is, in fact, an iterative process written using recursive syntax).
Reading other answers, and because of the stack trace, I see there's a problem with concat and adding a doall before concat solves the stack overflow problem. But... why?
Here's part of the code for the two-arity version of concat.
(defn concat [x y]
(lazy-seq
(let [s (seq x)]
,,,))
)
Notice that it uses two other functions, lazy-seq, and seq. lazy-seq is a bit like a lambda, it wraps some code without executing it yet. The code inside the lazy-seq block has to result in some kind of sequence value. When you call any sequence operation on the lazy-seq, then it will first evaluate the code ("realize" the lazy seq), and then perform the operation on the result.
(def lz (lazy-seq
(println "Realizing!")
'(1 2 3)))
(first lz)
;; prints "realizing"
;; => 1
Now try this:
(defn lazy-conj [xs x]
(lazy-seq
(println "Realizing" x)
(conj (seq xs) x)))
Notice that it's similar to concat, it calls seq on its first argument, and returns a lazy-seq
(def up-to-hundred
(reduce lazy-conj () (range 100)))
(first up-to-hundred)
;; prints "Realizing 99"
;; prints "Realizing 98"
;; prints "Realizing 97"
;; ...
;; => 99
Even though you asked for only the first element, it still ended up realizing the whole sequence. That's because realizing the outer "layer" results in calling seq on the next "layer", which realizes another lazy-seq, which again calls seq, etc. So it's a chain reaction that realizes everything, and each step consumes a stack frame.
(def up-to-ten-thousand
(reduce lazy-conj () (range 10000)))
(first up-to-ten-thousand)
;;=> java.lang.StackOverflowError
You get the same problem when stacking concat calls. That's why for instance (reduce concat ,,,) is always a smell, instead you can use (apply concat ,,,) or (into () cat ,,,).
Other lazy operators like filter and map can exhibit the exact same problem. If you really have a lot of transformation steps over a sequence consider using transducers instead.
;; without transducers: many intermediate lazy seqs and deep call stacks
(->> my-seq
(map foo)
(filter bar)
(map baz)
,,,)
;; with transducers: seq processed in a single pass
(sequence (comp
(map foo)
(filter bar)
(map baz))
my-seq)
Arne had a good answer (and, in fact, I'd never noticed cat before!). If you want a simpler solution, you can use the glue function from the Tupelo library:
Gluing Together Like Collections
The concat function can sometimes have rather surprising results:
(concat {:a 1} {:b 2} {:c 3} )
;=> ( [:a 1] [:b 2] [:c 3] )
In this example, the user probably meant to merge the 3 maps into one. Instead, the three maps were mysteriously converted into length-2 vectors, which were then nested inside another sequence.
The conj function can also surprise the user:
(conj [1 2] [3 4] )
;=> [1 2 [3 4] ]
Here the user probably wanted to get [1 2 3 4] back, but instead got a nested vector by mistake.
Instead of having to wonder if the items to be combined will be merged, nested, or converted into another data type, we provide the glue function to always combine like collections together into a result collection of the same type:
; Glue together like collections:
(is (= (glue [ 1 2] '(3 4) [ 5 6] ) [ 1 2 3 4 5 6 ] )) ; all sequential (vectors & lists)
(is (= (glue {:a 1} {:b 2} {:c 3} ) {:a 1 :c 3 :b 2} )) ; all maps
(is (= (glue #{1 2} #{3 4} #{6 5} ) #{ 1 2 6 5 3 4 } )) ; all sets
(is (= (glue "I" " like " \a " nap!" ) "I like a nap!" )) ; all text (strings & chars)
; If you want to convert to a sorted set or map, just put an empty one first:
(is (= (glue (sorted-map) {:a 1} {:b 2} {:c 3}) {:a 1 :b 2 :c 3} ))
(is (= (glue (sorted-set) #{1 2} #{3 4} #{6 5}) #{ 1 2 3 4 5 6 } ))
An Exception will be thrown if the collections to be 'glued' are not all of the same type. The allowable input types are:
all sequential: any mix of lists & vectors (vector result)
all maps (sorted or not)
all sets (sorted or not)
all text: any mix of strings & characters (string result)
I put glue into your code instead of concat and still got a StackOverflowError. So, I also replaced the lazy filter and remove with eager versions keep-if and drop-if to get this result:
(defn qsort [list]
(loop [[current & todo :as all] [list] sorted []]
(cond
(nil? current) sorted
(or (nil? (seq current)) (= (count current) 1))
(recur todo (glue sorted current))
:else (let [[pivot & rest] current
pred #(> (compare pivot %) 0)
lt (keep-if pred rest)
gte (drop-if pred rest)
work (list* lt [pivot] gte todo)]
(recur work sorted)))))
(defn tlfnum [] (str/join (repeatedly 10 #(rand-int 10))))
(defn tlfbook [n] (repeatedly n #(tlfnum)))
(def result
(time (count (qsort (tlfbook 10000)))))
-------------------------------------
Clojure 1.8.0 Java 1.8.0_111
-------------------------------------
"Elapsed time: 1377.321118 msecs"
result => 10000

Average using &rest in lisp

So i was asked to do a function i LISP that calculates the average of any given numbers. The way i was asked to do this was by using the &rest parameter. so i came up with this :
(defun average (a &rest b)
(cond ((null a) nil)
((null b) a)
(t (+ (car b) (average a (cdr b))))))
Now i know this is incorrect because the (cdr b) returns a list with a list inside so when i do (car b) it never returns an atom and so it never adds (+)
And that is my first question:
How can i call the CDR of a &rest parameter and get only one list instead of a list inside a list ?
Now there is other thing :
When i run this function and give values to the &rest, say (average 1 2 3 4 5) it gives me stackoverflow error. I traced the funcion and i saw that it was stuck in a loop, always calling the function with the (cdr b) witch is null and so it loops there.
My question is:
If i have a stopping condition: ( (null b) a) , shouldnt the program stop when b is null and add "a" to the + operation ? why does it start an infinite loop ?
EDIT: I know the function only does the + operation, i know i have to divide by the length of the b list + 1, but since i got this error i'd like to solve it first.
(defun average (a &rest b)
; ...
)
When you call this with (average 1 2 3 4) then inside the function the symbol a will be bound to 1 and the symbol b to the proper list (2 3 4).
So, inside average, (car b) will give you the first of the rest parameters, and (cdr b) will give you the rest of the rest parameters.
But when you then recursively call (average a (cdr b)), then you call it with only two arguments, no matter how many parameters where given to the function in the first place. In our example, it's the same as (average 1 '(3 4)).
More importantly, the second argument is now a list. Thus, in the second call to average, the symbols will be bound as follows:
a = 1
b = ((3 4))
b is a list with only a single element: Another list. This is why you'll get an error when passing (car b) as argument to +.
Now there is other thing : When i run this function and give values to the &rest, say (average 1 2 3 4 5) it gives me stackoverflow error. I traced the funcion and i saw that it was stuck in a loop, always calling the function with the (cdr b) witch is null and so it loops there. My question is:
If i have a stopping condition: ( (null b) a) , shouldnt the program stop when b is null and add "a" to the + operation ? why does it start an infinite loop ?
(null b) will only be truthy when b is the empty list. But when you call (average a '()), then b will be bound to (()), that is a list containing the empty list.
Solving the issue that you only pass exactly two arguments on the following calls can be done with apply: It takes the function as well as a list of parameters to call it with: (appply #'average (cons a (cdr b)))
Now tackling your original goal of writing an average function: Computing the average consists of two tasks:
Compute the sum of all elements.
Divide that with the number of all elements.
You could write your own function to recursively add all elements to solve the first part (do it!), but there's already such a function:
(+ 1 2) ; Sum of two elements
(+ 1 2 3) ; Sum of three elements
(apply #'+ '(1 2 3)) ; same as above
(apply #'+ some-list) ; Summing up all elements from some-list
Thus your average is simply
(defun average (&rest parameters)
(if parameters ; don't divide by 0 on empty list
(/ (apply #'+ parameters) (length parameters))
0))
As a final note: You shouldn't use car and cdr when working with lists. Better use the more descriptive names first and rest.
If performance is critical to you, it's probably best to fold the parameters (using reduce which might be optimized):
(defun average (&rest parameters)
(if parameters
(let ((accum
(reduce #'(lambda (state value)
(list (+ (first state) value) ;; using setf is probably even better, performance wise.
(1+ (second state))))
parameters
:initial-value (list 0 0))))
(/ (first accum) (second accum)))
0))
(Live demo)
#' is a reader macro, specifically one of the standard dispatching macro characters, and as such an abbreviation for (function ...)
Just define average*, which calls the usual average function.
(defun average* (&rest numbers)
(average numbers))
I think that Rainer Joswig's answer is pretty good advice: it's easier to first define a version that takes a simple list argument, and then define the &rest version in terms of it. This is a nice opportunity to mention spreadable arglists, though. They're a nice technique that can make your library code more convenient to use.
In most common form, the Common Lisp function apply takes a function designator and a list of arguments. You can do, for instance,
(apply 'cons '(1 2))
;;=> (1 . 2)
If you check the docs, though, apply actually accepts a spreadable arglist designator as an &rest argument. That's a list whose last element must be a list, and that represents a list of all the elements of the list except the last followed by all the elements in that final list. E.g.,
(apply 'cons 1 '(2))
;;=> (1 . 2)
because the spreadable arglist is (1 (2)), so the actual arguments (1 2). It's easy to write a utility to unspread a spreadable arglist designator:
(defun unspread-arglist (spread-arglist)
(reduce 'cons spread-arglist :from-end t))
(unspread-arglist '(1 2 3 (4 5 6)))
;;=> (1 2 3 4 5 6)
(unspread-arglist '((1 2 3)))
;;=> (1 2 3)
Now you can write an average* function that takes one of those (which, among other things, gets you the behavior, just like with apply, that you can pass a plain list):
(defun %average (args)
"Returns the average of a list of numbers."
(do ((sum 0 (+ sum (pop args)))
(length 0 (1+ length)))
((endp args) (/ sum length))))
(defun average* (&rest spreadable-arglist)
(%average (unspread-arglist spreadable-arglist)))
(float (average* 1 2 '(5 5)))
;;=> 3.25
(float (average* '(1 2 5)))
;;=> 2.66..
Now you can write average as a function that takes a &rest argument and just passes it to average*:
(defun average (&rest args)
(average* args))
(float (average 1 2 5 5))
;;=> 3.5
(float (average 1 2 5))
;;=> 2.66..

Removing adjacent and equal elements in a collection

Say that I have a function:
(defn get-token [char]
(defn char->number? []
(re-matches #"\d" (str char)))
(defn whitespace? []
(or
(= \space char)
(= \newline char)))
(defn valid-ident-char? []
(re-matches #"[a-zA-Z_$]" (str char)))
(cond
(whitespace?)
nil
(= \' char)
:quote
(= \) char)
:rparen
(= \( char)
:lparen
(char->number?)
:integer
(valid-ident-char?)
:identifier
:else
(throw (Exception. "invalid character"))))
When I run this function on, for instance, the string "(test 1 2)", I get a list of symbols for each character:
'(:lparen :identifier :identifier :identifier nil :integer nil :integer :rparen)
Seeing that this is not entirely what I want, I am trying to write a function that takes a collection and "condenses" the collection to combine adjacent elements that are equal.
A final example might do this:
(defn combine-adjacent [coll]
implementation...)
(->>
"(test 1 2)"
(map get-token)
(combine-adjacent)
(remove nil?))
; => (:lparen :identifier :integer :integer :rparen)
What is the idiomatic Clojure way to achieve this?
Clojure 1.7 will introduce a new function called dedupe to accomplish exactly this:
(dedupe [0 1 1 2 2 3 1 2 3])
;= (0 1 2 3 1 2 3)
If you're prepared to use 1.7.0-alpha2, you could use it today.
The implementation relies on transducers (dedupe produces a transducer when called with no arguments; the unary overload is defined simply as (sequence (dedupe) coll)), so it wouldn't be straightforward to backport.
Not sure how idiomatic it is but one way to do it would be to use partition-by to group elements of the incoming sequence into lists containing subsequences of the same element and then use map to get the first element from each of those lists.
So, in code
(defn combine-adjacent [input]
(->> input (partition-by identity) (map first)))
or
(defn combine-adjacent [input]
(->> (partition-by identity input) (map first))
should work.
There are a couple of tricks for comparing items to the one next door:
first, we can compare it to its tail:
(defn combine-adjacent
[s]
(mapcat #(when (not= % %2) [%]) (rest s) s))
alternatively, we can take the sequence by twos, and drop repeats
(defn combine-adjacent
[s]
(mapcat (fn [[a b]] (if (not= a b) [a]) ())
(partition 2 1[0 1 2 2 2 3 2 3])))
both of these take advantage of the helpful property of concat when combined with map that you can return zero or more elements for the result sequence for each input. The empty list for the false case in the second version is not needed, but may help with clarity.

Lisp: How to print out the recursive function to print each item in the list and sublist without quotes and return the number of items?

I want my function to print each item in the list and sublist without quotes and return the number of items. The output of the list also needs to be in order, but my function is printing in reverse. I'm not sure why, is there any reasons why? Any suggestions to how I can recursively count the number of items and return that number? In addition why is the last item printed is supposed to be 9.99 instead of 100.999?
Edit: Thanks for the help so far. Just last question: Is there a way to make any output like DAY to be in lower case (day), or is that something that can't be done?
My function:
(defun all-print (inlist)
(cond
((not (listp inlist))
(format t "Error, arg must be a list, returning nil")
())
((null inlist) 0)
((listp (car inlist))
(ffn (append (car inlist)(cdr inlist))))
(t
(format t "~a " (car inlist) (ffn (cdr inlist))))))
My output example:
CL-USER 1 > (all-print (list 5 "night" 3 (list 9 -10) (quote day) -5.9 (* 100.999)))
100.999 -5.9 DAY -10 9 3 night 5
NIL
What it's suppose to output example:
5 night 3 9 -10 day -5.9 9.99 ;print
8 ;returns
It looks like all-print is supposed to be called ffn, since it looks like those are supposed to be recursive calls. In the rest of this answer, I'm just going to use ffn since it's shorter.
Why the output is in reverse
At present, your final cond clause makes the recursive call before doing any printing, because your recursive call is an argument to format:
(format t "~a " (car inlist) (ffn (cdr inlist)))
; ------------ -----------------
; 3rd 4th
All the arguments to format, including the 4th in this case, are evaluated before format is called. The 4th argument here will print the rest of the list, and then format will finally print the first element of the list. Your last cond clause should do the printing, and then make the recursive call:
(cond
…
(t
(format t "~a " (car inlist))
(ffn (cdr inlist))))
Why you get 100.999 rather than 9.99
You're getting 100.999 in your output rather than 9.99 (or something close to it) because the value of (* 100.999) is simply the value of 100.999. I'm guessing that you wanted (* 10 0.999) (note the space between 10 and 0.99). That still won't be quite 9.99 because of floating point arithmetic, though, but it will be close.
How to get the number of elements printed
uselpa's answer provides a good solution here. If you're supposed to return the number of elements printed, then every return value from this function should be a number. You have four cases,
not a list — returning nil is not a great idea. If this can't return a number (e.g., 0), then signal a real error (e.g., with (error "~A is not a list" inlist).
inlist is empty — return 0 (you already do)
(car inlist) is a list — here you make a recursive call to ffn. Since the contract says that it will return a count, you're fine. This is one of the reasons that it's so important in the first case (not a list) that you don't return a non-number; the contract depends on every call that returns returning an number.
In the final case, you print one item, and then make a recursive call to ffn. That recursive call returns the number of remaining elements that are printed, and since you just printed one, you need to add one to it. Thus the final cond clause should actually be something like the following. (Adding one to something is so common that Common Lisp has a 1+ function.)
(cond
…
(t
(format t "~a " (car inlist))
(1+ (ffn (cdr inlist))))) ; equivalent to (+ 1 (ffn (cdr inlist)))
A more efficient solution
We've addressed the issues with your original code, but we can also ask whether there are better approaches to the problem.
Don't append
Notice that when you have input like ((a b c) d e f), you create the list (a b c d e f) and recurse on it. However, you could equivalently recurse on (a b c) and on (d e f), and add the results together. This would avoid creating a new list with append.
Don't check argument types
You're checking that the input is a list, but there's really not much need to do that. If the input isn't a list, then using list processing functions on it will signal a similar error.
A new version
This is somewhat similar to uselpa's answer, but I've made some different choices about how to handle certain things. I use a local function process-element to handle elements from each input list. If the element is a list, then we pass it to print-all recursively, and return the result of the recursive call. Otherwise we return one and print the value. (I used (prog1 1 …) to emphasize that we're returning one, and printing is just a side effect. The main part of print-all is a typical recursion now.
(defun print-all (list)
(flet ((process-element (x)
(if (listp x)
(print-all x)
(prog1 1
(format t "~A " x)))))
(if (endp list)
0
(+ (process-element (first list))
(print-all (rest list))))))
Of course, now that we've pulled out the auxiliary function, the iteration is a bit clearer, and we see that it's actually a case for reduce. You might even choose to do away with the local function, and just use a lambda function:
(defun print-all (list)
(reduce '+ list
:key (lambda (x)
(if (listp x)
(print-all x)
(prog1 1
(format t "~A " x))))))
Here's my suggestion on how to write this function:
(defun all-print (lst)
(if (null lst)
0 ; empty list => length is 0
(let ((c (car lst))) ; bind first element to c
(if (listp c) ; if it's a list
(+ (all-print c) (all-print (cdr lst))) ; recurse down + process the rest of the list
(progn ; else
(format t "~a " c) ; not a list -> print item, then
(1+ (all-print (cdr lst)))))))) ; add 1 and process the rest of the list
then
? (all-print (list 5 "night" 3 (list 9 -10) (quote day) -5.9 (* 100.999)))
5 night 3 9 -10 DAY -5.9 100.999
8

Common Lisp: Function that checks if element is member of list

I want to make a function that checks if an element is a member of a list. The list can contain other lists.
This is what I came with so far:
(defun subl(l)
(if (numberp l)
(if (= l 10)
(princ "Found"))
(mapcar 'subl l)))
Now the number I am searching for is hard-coded and it is 10. I would like to write it somehow so the function takes another parameter(the number I am searching for) and returns true or 1 when it finds it. The main problem is that I can't see a way to control mapcar. mapcar executes subl on each element of l, if l si a list. But how can I controll the returned values of each call?
I would like to check the return value of each subl call and if one of it is true or 1 to return true or 1 till the last recursive call. So in the end subl returns true or one if the element is contained in the list or nil otherwise.
Any idea?
This procedure below should process as you have described;
(defun member-nested (el l)"whether el is a member of l, el can be atom or cons,
l can be list of atoms or not"
(cond
((null l) nil)
((equal el (car l)) t)
((consp (car l)) (or (member-nested el (car l))
(member-nested el (cdr l))))
(t (member-nested el (cdr l)))))
mapcar is a very generic primitive to map a function over a list. You can use one of the built-in combinators which are much more closely suited with what you're trying to do. Look into the member function.
Your function seems to play the role of main function and helper at the same time. That makes your code a lot more difficult to understand than it has to be..
So imagine you split the two:
;; a predicate to check if an element is 10
(defun number10p (l)
(and (numberp l)
(= l 10)))
;; the utility function to search for 10 amongst elements
(defun sublistp (haystack)
(mapcar #'number10p haystack)))
But here when you do (sublistp '(5 10 15 20)) you'll get (nil t nil nil) back. Thats because mapcar makes a list of every result. For me it seems you are describing some since it stops at the first true value.
(defun sublistp (haystack)
(some #'number10p haystack)))
(sublistp '(5 10 15 20)) ; ==> t
Now to make it work for any data type we change the predicate and make it as a local function where we have the argument we are searching for:
(defun sublistp (needle haystack)
(flet ((needlep (x)
(equal x needle)))
(some #'needlep haystack)))
(sublistp '(a b) '(a b c (a b) d e f)) ; ==> t
You can also do this with an anonymous predicate like this:
(defun sublistp (needle haystack)
(some #'(lambda (x)
(equal x needle))
haystack))
An implementation of this is the member function, except it returns the match as truth value. That's ok since anything but nil is true in CL:
(member 10 '(5 10 15 20)) ; ==> (10 15 20)
EDIT
You commented on a different answer that you are required to use mapcar in that case use it together with append to get a list of all matches and check if the list has greater than 0 elements:
(defun sublistp (needle haystack)
(flet ((needle-check (x)
(if (equal x needle) '(t) nil)))
(< 0 (length
(apply #'append
(mapcar #'needle-check haystack))))))
How it works is that for each match you get a list of one element and for every non match you get an empty list. When appending the lists you'll get the empty list when there is not match. For all other results you have a match. This is not a very efficient implementation.

Resources